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Elements of the Random Walk


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Table of Contents

Preface; 1. Introduction to techniques; 2. Generating functions I; 3. Generating functions II: recurrence, sites visited, and the role of dimensionality; 4. Boundary conditions, steady state, and the electrostatic analogy; 5. Variations on the random walk; 6. The shape of a random walk; 7. Path integrals and self-avoidance; 8. Properties of the random walk: introduction to scaling; 9. Scaling of walks and critical phenomena; 10. Walks and the O(n) model: mean field theory and spin waves; 11. Scaling, fractals, and renormalization; 12. More on the renormalization group; References; Index.

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A self-contained introduction to the applications of random walk techniques.


Review of the hardback: 'I warmly recommend a most rewarding and challenging textbook.' Contemporary Physics
Review of the hardback: '... an excellent starting point for those wanting a relatively simple and straightforward introduction to these topics.' Journal of Statistical Physics
Review of the hardback: '... an excellent introduction to emerging topics such as fractals, scaling and path integrals.' International Statistical Institute
"Excellent...In summary I warmly recommend a most rewarding and challenging textbook." Contemporary Physics, Professor D.S.F. Crothers
"This is a fine work that fills a long-standing void in the study of introductory mathematical physics." The Leading Edge, John Stockwell

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